Answer:
General Equation of a Line

Step-by-step explanation:
Find the slope first and then place the values on the general formula. The final step is to solve for y
Answer:
17.5 cubic feet
1163.75 pounds
Step-by-step explanation:
Givens
L = 3.5 Given
W = 5/7 * 3.5 Divide by 7
W = 5 * 0.5 Combine
W = 2.5
H = 4/5 * w
H = 4/5 * 2.5
H = 4 * 0.5
H = 2
Volume
V = L * w * h
V = 3.5 * 2.5 * 2
V = 17.5
Weight
1 Cubic foot Milk = 66.5 pounds
17.5 cubic feet milk = x
1 / 17.5 = 66.5/ x
x = 17.5 * 66.5
x = 1164.75
Answer:
Pythagorean triplet are the values of hypotenuse, base and perpendicular which tend to represent a right-angled triangle. Integral solutions to the Pythagorean Theorem, a2+b2=c2 are called Pythagorean triplet which contains three positive integers a,b,c where a<b<c.
Answer:
The value that represents the 90th percentile of scores is 678.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

Find the value that represents the 90th percentile of scores.
This is the value of X when Z has a pvalue of 0.9. So X when Z = 1.28.




The value that represents the 90th percentile of scores is 678.
Answer:
Option B.
Step-by-step explanation:
The given vertices of triangle ABC are (-1, -1), (-1, -5) and (0.5, -5).
We need to find the coordinates of triangle when it is translated two units left.
So, the rule of translation is
Using this rule, we get
The vertices of triangle A'B'C' are A'(-3,-1), B'(-3,-5) and C'(-1.5,-5).
Therefore, the correct option is B.